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lawyer [7]
2 years ago
7

Y + x = 12 y -x = 8 are thes equation perpendicular or parallel

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
4 0

Answer:

perpendicular

Step-by-step explanation:

because of the opposite signs

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Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6
horsena [70]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 3/2x + 7/2}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}

Find:  \textsf{The equation in slope-intercept form}

Solution:  In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us.  After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 2 = 3/2(x - (-1))}

<u>Simplify and distribute</u>

  • \textsf{y - 2 = 3/2(x + 1)}
  • \textsf{y - 2 = (3/2 * x) + (3/2 * 1)}
  • \textsf{y - 2 = 3/2x + 3/2}

<u>Add 2 to both sides</u>

  • \textsf{y - 2 + 2 = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 7/2}

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

4 0
1 year ago
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
Dafna1 [17]
The answer is 150 parents. Because 450/3=150
4 0
3 years ago
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
solong [7]

Answer:

Step-by-step explanation:

12.80+3.42= 16.22

16.22-9.70= 6.52 that's your answer

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
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f(x) = 1,200 * (0.97)ˣ

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cylindrical soup can has a diameter of 3.6 in. and is 6.4 in. tall. Find the volume of the can.
arsen [322]
<h2>⚘Your Answer:------</h2>

<h3><u>Given</u><u> </u><u>Information</u><u>:</u></h3>

  • <u>Diameter of can</u>:- 3.6 cm
  • <u>Height of</u><u> </u><u>can</u><u>:</u><u>-</u> 6.4 cm

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>Out</u><u>:</u></h3>

  • <u>Volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>Can</u><u>.</u>

<h3><u>Solution</u><u>:</u></h3>

Radius = (Diameter/2)

ㅤㅤㅤㅤ3.6 cm/2

ㅤㅤㅤㅤ1.8 cm

<u>So</u><u>,</u><u> </u><u>Radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>soup</u><u> </u><u>can</u><u> </u><u>is</u> 1.8 cm.

Volume øf cylinder = Volume øf can

Volume of cylinder = π r²h

(π = 22/7)

(r = radius = 1.8 cm)

(h = height = 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³

So, the Volume of the soup can is 65.17 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You

7 0
2 years ago
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